THE NONLINEAR STRUCTURE ON THE GENERAL QUANTUM HYPERPLANES: THE QUANTUM HYPERSURFACES AND THE NONLINEAR REALIZATIONS OF THE QUANTUM GROUPS

DOI10.1142/S0217732394002185zbMath1020.46502OpenAlexW2089574641MaRDI QIDQ2727909

Zai-Zhe Zhong

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217732394002185

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative measure and integration (46L51)

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The \(q\)-symplectic form on the quantum hyperplane and noncommutative Hamiltonian mechanics ⋮ Quantum-symmetric and quantum-antisymmetric matrices corresponding to a quantum group and quadratic homogeneous expressions on quantum hyperplane

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